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We consider the CFT of a free boson compactified on a circle, such that the compactification radius $R$ is an irrational multiple of $R_{selfdual}$. Apart from the standard Dirichlet and Neumann boundary states, Friedan suggested [1] that…

High Energy Physics - Theory · Physics 2010-11-19 Romuald A. Janik

We propose an analytic framework to study the nonperturbative solutions of Witten's open string field theory. The method is based on the Moyal star formulation where the kinetic term can be split into two parts. The first one describes the…

High Energy Physics - Theory · Physics 2009-11-10 I. Bars , I. Kishimoto , Y. Matsuo

The main geometric ingredient of the closed string field theory are the string vertices, the collections of string diagrams describing the elementary closed string interactions, satisfying the quantum Batalian-Vilkovisky master equation.…

High Energy Physics - Theory · Physics 2019-07-31 Seyed Faroogh Moosavian , Roji Pius

We generalize the idea of boundary states to open string channel. They describe the emission and absorption of the open string in the presence of intersecting D-branes. We study the algebra between such states under the star products of…

High Energy Physics - Theory · Physics 2007-05-23 Hiroshi Isono , Yutaka Matsuo

We consider "sliver" states which act as projection operators in the matter star product of Witten's cubic string field theory. These sliver states, which might be associated with Dirichlet p-branes, are not finite norm states in the matter…

High Energy Physics - Theory · Physics 2009-11-07 Gregory Moore , Washington Taylor

Boundary interactions of closed-string with open-strings are examined intended to provide a constructive formulation of boundary string field theory. As an illustration, we consider the BPS $D$-brane of the type II superstring in a constant…

High Energy Physics - Theory · Physics 2007-05-23 Takashi Maeda , Toshio Nakatsu , Taku Oonishi

The three string vertex for Type IIB superstrings in a maximally supersymmetric plane-wave background can be constructed in a light-cone gauge string field theory formalism. The detailed formula contains certain Neumann coefficients, which…

High Energy Physics - Theory · Physics 2007-05-23 John H. Schwarz

We present a series of new gauge invariant quantities in Witten's open string field theory. They are defined for a given set of open string states which satisfy the physical state condition around a classical solution. For known classical…

High Energy Physics - Theory · Physics 2019-08-27 Toru Masuda , Hiroaki Matsunaga

We present a new representation of the string vertices of the cubic open string field theory. By using this three-string vertex, we attempt to identify open string fields as huge-sized matrices by following Witten's idea. By using these…

High Energy Physics - Theory · Physics 2009-11-07 Teruhiko Kawano , Kazumi Okuyama

Toda Conformal Field Theories (CFTs hereafter) are generalizations of Liouville CFT where the underlying field is no longer scalar but takes values in a finite-dimensional vector space induced by a complex simple Lie algebra. The goal of…

Probability · Mathematics 2025-12-24 Baptiste Cerclé , Nathan Huguenin

We generalize Gopakumar's microscopic derivation of Witten diagrams in large N free quantum field theory [1] to interacting theories in perturbative expansion. For simplicity we consider a matrix scalar field with $\Phi^h$ interaction in d…

High Energy Physics - Theory · Physics 2022-12-01 Domingo Gallegos , Umut Gursoy , Natale Zinnato

The search for analytic solutions in open string fields theory \`a la Witten often meets with singular expressions, which need an adequate mathematical formalism to be interpreted. In this paper we discuss this problem and propose a way to…

High Energy Physics - Theory · Physics 2015-06-15 Loriano Bonora , Stefano Giaccari

Motivated by quantum field theory (QFT) considerations, we present new representations of the Euler-Beta function and tree-level string theory amplitudes using a new two-channel, local, crossing symmetric dispersion relation. Unlike…

High Energy Physics - Theory · Physics 2024-05-29 Arnab Priya Saha , Aninda Sinha

In this article, applying different types of boundary conditions; Dirichlet, Neumann, or Mixed, on open strings we realize various new brane bound states in string theory. Calculating their interactions with other D-branes, we find their…

High Energy Physics - Theory · Physics 2009-10-07 M. M. Sheikh-Jabbari

We present the viewpoint of treating one-dimensional band structures as Riemann surfaces, linking the unique properties of non-Hermiticity to the geometry and topology of the Riemann surface. Branch cuts and branch points play a significant…

Mathematical Physics · Physics 2024-09-10 Heming Wang , Lingling Fan , Shanhui Fan

(This talk was presented at the Third International Wigner Symposium on Group Theory, Oxford, September, 1993.) Matrix models provides us with the most powerful framework in which to analyze D=2 string theory, yet some of its miraculous…

High Energy Physics - Theory · Physics 2007-05-23 Michio Kaku

We consider two problems associated to the space of Riemann surfaces that are closely related to string theory. We first consider the problem of existence of heterotic-string and type-II-superstring field theory vertices in the product of…

High Energy Physics - Theory · Physics 2019-11-13 Seyed Faroogh Moosavian , Yehao Zhou

Method for computing scattering amplitudes of open strings with Dirichlet boundary on one end and Neumann boundary condition on the other is described. Vertex operator for these states are constructed using twist fields which have been…

High Energy Physics - Theory · Physics 2009-10-30 Akikazu Hashimoto

In the framework of simplicial models, we construct and we fully characterize a scalar boundary conformal field theory on a triangulated Riemann surface. The results are analysed from a string theory perspective as tools to deal with…

High Energy Physics - Theory · Physics 2007-11-01 Valeria L. Gili , Mauro Carfora , Claudio Dappiaggi

We study the structure of anomalies in general heterotic string theories by considering general 2-dimensional $\mathcal{N}=(0,1)$ supersymmetric quantum field theories (SQFTs), without assuming conformal invariance nor the correct central…

High Energy Physics - Theory · Physics 2022-10-19 Kazuya Yonekura